Kramers–Heisenberg dispersion formula

E415083

The Kramers–Heisenberg dispersion formula is a fundamental quantum mechanical expression that describes how light is scattered by atoms and molecules, forming the basis for understanding phenomena such as Raman scattering and resonant inelastic X-ray scattering.

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Statements (50)

Predicate Object
instanceOf dispersion formula ⓘ
quantum mechanical formula ⓘ
scattering theory formula ⓘ
appliesTo elastic light scattering ⓘ
inelastic light scattering ⓘ
approximationOf full quantum electrodynamical scattering description ⓘ
basisFor Raman scattering theory ⓘ
nonresonant Raman scattering ⓘ
nonresonant inelastic X-ray scattering descriptions ⓘ
resonant Raman scattering ⓘ
resonant inelastic X-ray scattering ⓘ
characterizes line shapes in scattering spectra ⓘ
polarization dependence of scattered light ⓘ
resonant enhancement near electronic transitions ⓘ
dependsOn final quantum state of the system ⓘ
incident photon energy ⓘ
initial quantum state of the system ⓘ
scattered photon energy ⓘ
sum over intermediate quantum states ⓘ
transition matrix elements between states ⓘ
describes frequency dependence of scattered radiation ⓘ
quantum mechanical dispersion of radiation ⓘ
scattering of light by atoms ⓘ
scattering of light by molecules ⓘ
field atomic physics ⓘ
molecular physics ⓘ
optics ⓘ
quantum mechanics ⓘ
historicalPeriod early quantum mechanics era ⓘ
namedAfter Hendrik Anthony Kramers ⓘ
Werner Heisenberg ⓘ
relatedTo Compton scattering ⓘ
linked to: Compton effect

Fermi’s golden rule ⓘ
linked to: Fermi golden rule

Kramers–Kronig relations ⓘ
Rayleigh scattering ⓘ
Thomson scattering ⓘ
optical theorem ⓘ
relates incident photon frequency to scattered photon frequency ⓘ
scattering amplitude to intermediate quantum states ⓘ
scattering cross section to transition matrix elements ⓘ
usedIn Raman spectroscopy ⓘ
linked to: Raman effect

X-ray spectroscopy ⓘ
nonlinear optics ⓘ
resonant inelastic X-ray scattering experiments ⓘ
spectroscopy ⓘ
usesConcept Kramers–Kronig relations ⓘ
energy denominators involving intermediate states ⓘ
second-order time-dependent perturbation theory ⓘ
transition dipole moments ⓘ
virtual intermediate states ⓘ

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Referenced by (4)

Full triples — surface form annotated when it differs from this entity's canonical label.

Hendrik Anthony Kramers → notableWork → Kramers–Heisenberg dispersion formula ⓘ
Hendrik Anthony Kramers → knownFor → Kramers–Heisenberg formula ⓘ
linked to: Kramers–Heisenberg dispersion formula
Hendrik Anthony Kramers → hasEponym → Kramers–Heisenberg formula ⓘ
linked to: Kramers–Heisenberg dispersion formula
Hendrik Anthony Kramers → knownFor → Kramers–Heisenberg dispersion formula ⓘ
subject linked to: Kramers